Calculus Limits and Evaluations

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Questions and Answers

What is the limit approaching -1/4?

  • 0
  • Undefined
  • 1/4
  • -1/4 (correct)

What is the limit approaching -3?

  • Undefined
  • 3
  • -3 (correct)
  • 0

What is the limit approaching 10?

  • Undefined
  • 0
  • 1
  • 10 (correct)

What does DNE stand for in limits?

<p>Does Not Exist (D)</p> Signup and view all the answers

What is the limit approaching -∞?

<p>-∞ (C)</p> Signup and view all the answers

What is the limit approaching ∞?

<p>∞ (A)</p> Signup and view all the answers

What is the limit approaching 6?

<p>6 (D)</p> Signup and view all the answers

What is the limit approaching 5?

<p>5 (B)</p> Signup and view all the answers

What is the limit approaching 4?

<p>4 (C)</p> Signup and view all the answers

What is the limit approaching 7?

<p>7 (B)</p> Signup and view all the answers

What is the limit approaching 11/2?

<p>11/2 (C)</p> Signup and view all the answers

What is the limit approaching 12?

<p>12 (D)</p> Signup and view all the answers

What is the limit approaching 9/2?

<p>9/2 (A)</p> Signup and view all the answers

Evaluate the limit for -5:

<p>Evaluate the limit</p> Signup and view all the answers

Evaluate the limit for -7:

<p>Evaluate the limit</p> Signup and view all the answers

Evaluate the limit for 40:

<p>Evaluate the limit</p> Signup and view all the answers

Evaluate the limit for 6:

<p>Evaluate the limit</p> Signup and view all the answers

Evaluate the limit for 1/25:

<p>Evaluate the limit</p> Signup and view all the answers

Evaluate the limit for 8:

<p>Evaluate the limit</p> Signup and view all the answers

Evaluate the limit for Does Not Exist:

<p>Evaluate the limit</p> Signup and view all the answers

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Study Notes

Limit Values

  • Common limit values in calculus include -1/4, -3, 10, and integers such as 6, 5, 4, 7, 12, and 8.
  • Occasionally, limits can approach infinity (∞) or negative infinity (−∞), indicating unbounded behavior.

Limit Evaluations

  • Various values require evaluating limits, often resulting in numerical answers or indicating if the limit does not exist (DNE).
  • Specific limits to evaluate include:
    • -5 (Evaluate limit)
    • -7 (Evaluate limit)
    • 40 (Evaluate limit)
    • 6 (Evaluate limit)
    • 1/25 (Evaluate limit)
    • 8 (Evaluate limit)

Undefined Limits

  • "DNE" stands for "Does Not Exist," often used to describe scenarios where limits cannot be determined analytically or are undefined.

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